One of the most spectacular aspects of quantum theory is that it can be formulated in a variety of ways that even appear not to be equivalent at first sight. In some occasions the mathematical formulation is identical but the conceptual framework differs significantly, in other instances even the mathematical formalism varies. It is well-known that soon after the inception of quantum mechanics de Broglie proposed an alternate formulation based on a guiding wave field, an idea rediscovered later by Bohm [1]}. Almost at the same time it became possible to formulate the new theory in terms of a hydrodynamical model [2]} and this line of enquiry was later continued and perfected by Takabayasi [3]}. In both formulations, although in a different context, a prominent place is given to what is called quantum potential. The Bohm quantum potential should not be considered as another classical potential function acting on physical systems [4]}. It is a rich physical concept with broader mereological implications and displays with clarity the inherent wholeness and non-separability of an interacting many-body system [5]} since it does not necessarily diminish with distance and it is manifestly non-local. On the other hand its very reliance on a probabilistic measure, namely the curvature of the amplitude of the wavefunction [4]}, seems problematic within the scope of a deterministic theory like the de Broglie-Bohm one. In the next section we examine some fundamental considerations, introducing a non-linear wave mechanical equation and relate its solution with the linear Schrödinger equation. In section 3 we examine the hydrodynamic formulation and examine the effect of the quantum potential to the osmotic velocity. A time symmetrical wave equation with a non-homogeneous term for the probability density is also derived that applies to the unmodified dynamical problem.
